Finding the Fourth Proportional to 9,345.34, 12,896.49 and 5,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.34 : 12,896.49 = 5,153.50 : x
2. Step 2: Convert to fraction form
   9,345.34/12,896.49 = 5,153.50/x
3. Step 3: Cross multiply
   9,345.34x = 12,896.49 × 5,153.50
4. Step 4: Simplify right side
   9,345.34x = 66,462,061.22
5. Step 5: Solve for x
   x = 66,462,061.22/9,345.34
6. Step 6: Final answer
   x = 7,111.79